Generating function
$$U_{896}(x, y) = \frac{1}{\left(1 - y\right)^{3} \left(- x \left(1 - y\right)^{2} + 1\right)^{2}}$$
Explicit formula
$$T_{896}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{3 k + m - 2 n - 1}{m}}$$
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 3 | -3 | 0 | 0 | 0 | 0 | 0 |
| 4 | -12 | 12 | -4 | 0 | 0 | 0 |
| 5 | -25 | 5 | -5 | 25 | -5 | 0 |
| 6 | -42 | 126 | -21 | 21 | -126 | 42 |
| 7 | -63 | 252 | -588 | 882 | -882 | 588 |
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